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Tiling Trial (Posted on 2014-07-24) Difficulty: 4 of 5
Is it possible to find tiling of a square into an odd number of non-rectangular pieces each having identical shapes and the same area? (Regard a given piece as identical to another if the rotation and/or reflection of the first piece is identical to the second)

If so, provide an example. If not, prove that it canít be done.

No Solution Yet Submitted by K Sengupta    
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Some Thoughts Solution | Comment 1 of 2

It is possible; for example, a 45*45 square can be exactly tiled with 675 congruent L-shaped pieces of size 3.

Doubtless smaller solutions exist.



  Posted by broll on 2014-07-25 10:30:28
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